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23 Feb 2018, 11:16
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Exactly 71 people are standing in a single queue outside a store on black Friday. If these 71 people also include Daniel and Maria, then how many people are standing in front of Maria in the queue?
(1) When counted from the back of the queue, Daniel is at 19th position and there are exactly 7 people between Daniel and Maria.
(2) The number of people in front of Maria in the queue are 18 more than the number of people behind Maria in the queue.
(1) When counted from the back of the queue, Daniel is at 19th position and there are exactly 7 people between Daniel and Maria.
(2) The number of people in front of Maria in the queue are 18 more than the number of people behind Maria in the queue.
23 Feb 2018, 11:27
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amanvermagmat
Exactly 71 people are standing in a single queue outside a store on black Friday. If these 71 people also include Daniel and Maria, then how many people are standing in front of Maria in the queue?
(1) When counted from the back of the queue, Daniel is at 19th position and there are exactly 7 people between Daniel and Maria.
(2) The number of people in front of Maria in the queue are 18 more than the number of people behind Maria in the queue.
(1) When counted from the back of the queue, Daniel is at 19th position and there are exactly 7 people between Daniel and Maria.
(2) The number of people in front of Maria in the queue are 18 more than the number of people behind Maria in the queue.
Statement 1: Provides Daniel's position but we do not know whether Maria is in front or behind Daniel. In wither case number of people standing in front of Maria will be different. Hence Insufficient
Statement 2: if number of people behind Maria is \(x-18\), then number of people in front of Maria will be \(x\)
so we have \(x+x-18=70 => x=44\). Sufficient
Option B
23 Feb 2018, 11:38
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Exactly 71 people are standing in a single queue outside a store on black Friday. If these 71 people also include Daniel
and Maria, then how many people are standing in front of Maria in the queue?
(1) When counted from the back of the queue, Daniel is at 19th position and there are exactly 7 people between Daniel and Maria.
This statement is not enough as Maria could be 7 places before/after Daniel.
We cannot arrive at a unique answer for the total number of people ahead of Maria (Insufficient)
(2) The number of people in front of Maria in the queue are 18 more than the number of people behind Maria in the queue.
It x is the position she is at from behind the queue, then 18+x+1+x = 71.
2x + 19 = 71 -> x = 26
So basically, she must be at the 45(18+26)th position in the queue (Sufficient - Option B)
and Maria, then how many people are standing in front of Maria in the queue?
(1) When counted from the back of the queue, Daniel is at 19th position and there are exactly 7 people between Daniel and Maria.
This statement is not enough as Maria could be 7 places before/after Daniel.
We cannot arrive at a unique answer for the total number of people ahead of Maria (Insufficient)
(2) The number of people in front of Maria in the queue are 18 more than the number of people behind Maria in the queue.
It x is the position she is at from behind the queue, then 18+x+1+x = 71.
2x + 19 = 71 -> x = 26
So basically, she must be at the 45(18+26)th position in the queue (Sufficient - Option B)
